Given the Radius, Diameter, or Circumference of a circle match it to the appropriate relationship. r = Radius d = Diameter C = Circumference C=πd

Question

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If r = 2 and d = 4
If r = 4 and d = 8
If d = 6 and C = 6π
If d = 5 and C = 5π

then c = π
then c = 4π
then c = 8π
then c = 2π
then r = 10
then r = 5/2
then r = 3
then r = 6

Answer 1

Here are the relationships matched based on the given values of radius (r), diameter (d), and circumference (C):

1. If r = 2 and d = 4:

   • d = 2r, so this is correct.
   • From \( d = 4 \), we can calculate \( C \): \( C = πd \) \( C = π × 4 = 4π \)

2. If r = 4 and d = 8:

   • d = 2r, so this is also correct.
   • From \( d = 8 \), we can calculate \( C \): \( C = πd \) \( C = π × 8 = 8π \)

3. If d = 6 and C = 6π:

   • This gives us \( C = πd \): \( 6π = π × 6 \), which is correct.
   • From \( d = 6 \), we can find the radius: \( r = \frac{d}{2} = \frac{6}{2} = 3 \)

4. If d = 5 and C = 5π:

   • This again fits \( C = πd \): \( 5π = π × 5 \), which is correct.
   • From \( d = 5 \), we can find the radius: \( r = \frac{d}{2} = \frac{5}{2} = 2.5 \)

Here are the final responses mapped to outputs:

• If r = 2 and d = 4: then C = 4π
• If r = 4 and d = 8: then C = 8π
• If d = 6 and C = 6π: then r = 3
• If d = 5 and C = 5π: then r = 5/2

Final summary:

• If r = 2 and d = 4, then c = 4π
• If r = 4 and d = 8, then c = 8π
• If d = 6 and C = 6π, then r = 3
• If d = 5 and C = 5π, then r = 5/2